Find the volume of a right circular cone that has a height of 6.6 cm and a base with a radius of 14.7 cm. Round your answer to the nearest tenth of a cubic centimeter.
Question
Find the volume of a right circular cone that has a height of 6.6 cm and a base with a radius of 14.7 cm. Round your answer to the nearest tenth of a cubic centimeter.
Solution
The volume V of a right circular cone can be found using the formula V = 1/3πr²h, where r is the radius of the base and h is the height of the cone.
Step 1: Substitute the given values into the formula. V = 1/3π(14.7 cm)²(6.6 cm)
Step 2: Square the radius. V = 1/3π(216.09 cm²)(6.6 cm)
Step 3: Multiply the squared radius by the height. V = 1/3π(1427.394 cm³)
Step 4: Multiply by 1/3π. V = 474.5 cm³
So, the volume of the cone is approximately 474.5 cubic centimeters, rounded to the nearest tenth.
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